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Finding the Third Proportional to 177,235.88 and 264,695.06

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Solution

The third proportional to 177,235.88 and 264,695.06 is: 395,312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,235.88 : 264,695.06 = 264,695.06 : x
  2. Step 2: Convert to fraction form
    177,235.88/264,695.06 = 264,695.06/x
  3. Step 3: Cross multiply
    177,235.88x = 264,695.06 × 264,695.06
  4. Step 4: Simplify right side
    177,235.88x = 70,063,476,111.88
  5. Step 5: Solve for x
    x = 70,063,476,111.88/177,235.88
  6. Step 6: Final answer
    x = 395,312.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.